Atkin-Lehner |
2+ 5+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
65650a |
Isogeny class |
Conductor |
65650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-525200 = -1 · 24 · 52 · 13 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 6 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21,48] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
-38226865/21008 |
j-invariant |
L |
4.7406157461681 |
L(r)(E,1)/r! |
Ω |
2.7218314045132 |
Real period |
R |
0.87085036542617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65650w1 |
Quadratic twists by: 5 |